The probability of reaching a certain point value in a popular video arcade game is listed in the table. Given that the table is a probability distribution, what is the mean, μ?

478.9478.9227.5227.551,762.051,762.0421.4

1 answer

It seems that you've provided a list of values related to a probability distribution but not the corresponding probabilities for each value.

To calculate the mean \( \mu \) of a probability distribution, you use the formula:

\[ \mu = \sum (x_i \cdot p_i) \]

where \( x_i \) represents the different point values, and \( p_i \) represents the probabilities associated with those point values.

Without the probabilities provided for each point value, I'm unable to compute the mean for you.

If you could provide the probability for each of the point values you've listed, I can certainly help you calculate the mean.